TEACHER KNOWLEDGE CHECK · LINEAR EQUATIONS

Understand it.
Explain it.

Four illustrative questions connect mathematics with teaching decisions. This is a reflection tool, not a validated assessment or a certification judgment. Answers and confidence are not sent to a server or saved.

1. Which explanation best justifies subtracting 5 from both sides of 3x + 5 = 20?
2. An illustrative solution changes 3x + 5 = 20 into 3x = 25. What is the most useful first response?
3. Why does dividing both sides of 3x = 15 by 3 isolate x?
4. Which question best checks understanding beyond obtaining x = 5?
How confident are you explaining why equation-solving steps work?